| 实四元数矩阵正则对的广义右特征值 |
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| 引用本文： | 龚翔,陈冬发,刘春光. 实四元数矩阵正则对的广义右特征值[J]. 湖南文理学院学报(自然科学版), 2008, 20(4) |
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| 作者姓名： | 龚翔 陈冬发 刘春光 |
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| 作者单位： | 长沙理工大学,数学与计算科学学院,湖南,长沙,410114;长沙民政学院,湖南,长沙,410004 |
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| 摘 要： | 给出了实四元数矩阵正则对的广义右特征值的存在性和表达形式. 通过运用实四元数矩阵的复表示,把实四元数矩阵的问题转化为复矩阵的问题,从而证明了正则对上的实四元数矩阵广义右特征值的存在性和表达形式. 由此有助于研究实四元数矩阵方程的解的情况和解的稳定性.
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| 关 键 词： | 实四元数矩阵 复表示矩阵 正则对 广义右特征值 复投影平面 |
Generalized right eigenvaluevalues of real nonsingular quaternion matrix |
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| GONG Xiang,CHEN Dong-fa,LIU Chun-guang. Generalized right eigenvaluevalues of real nonsingular quaternion matrix[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2008, 20(4) |
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| Authors: | GONG Xiang CHEN Dong-fa LIU Chun-guang |
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| Affiliation: | GONG Xiang1,CHEN Dong-fa1,LIU Chun-guang2(1.College of Math , Computing Science,Changsha University of Science , Technology,Changsha,Hunan,410114,2.Economy , Trade Department,Changsha Social Work College,410004) |
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| Abstract: | The existence and forms of the generalized righteigenvalues of real nonsingular quaternion matrix were put forward.By the complex representation of the real quaternion matrix.It helps to research the solution of the situation and stability of the real quaternion matrix equation. |
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| Keywords: | real quaternion matrix complex matrix representation nonsingular matrix pair generalized right eigenvalues complex projective plane. |
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